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Finding the Third Proportional to 583,645.50 and 1,278,006.75

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Solution

The third proportional to 583,645.50 and 1,278,006.75 is: 2,798,447.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,645.50 : 1,278,006.75 = 1,278,006.75 : x
  2. Step 2: Convert to fraction form
    583,645.50/1,278,006.75 = 1,278,006.75/x
  3. Step 3: Cross multiply
    583,645.50x = 1,278,006.75 × 1,278,006.75
  4. Step 4: Simplify right side
    583,645.50x = 1,633,301,253,045.56
  5. Step 5: Solve for x
    x = 1,633,301,253,045.56/583,645.50
  6. Step 6: Final answer
    x = 2,798,447.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.